- #1
Trave11er
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Hi.
Let's say we have a complex scalar field [itex]\varphi[/itex] and we separate it into the real and the imaginary parts:
[itex]\varphi[/itex] = ([itex]\varphi1[/itex] + i[itex]\varphi2[/itex])
It's Lagrangian density L is given by:
L = L([itex]\varphi1[/itex]) + L([itex]\varphi1[/itex])
Can you tell the argument behind the idea that in summing the densities of cpts. we treat the imaginary part on equal basis with the real.
Let's say we have a complex scalar field [itex]\varphi[/itex] and we separate it into the real and the imaginary parts:
[itex]\varphi[/itex] = ([itex]\varphi1[/itex] + i[itex]\varphi2[/itex])
It's Lagrangian density L is given by:
L = L([itex]\varphi1[/itex]) + L([itex]\varphi1[/itex])
Can you tell the argument behind the idea that in summing the densities of cpts. we treat the imaginary part on equal basis with the real.